(cosec Q - cotan Q) • ( 1+cos Q)
Matematika
Fajrul26
Pertanyaan
(cosec Q - cotan Q) • ( 1+cos Q)
1 Jawaban
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1. Jawaban AZHAAYL
= (cscQ-cotQ) × (1+cosQ)
= (1/sinQ - cosQ/sinQ) × (1+cosQ)
= (1-cosQ/sinQ) × (1+cosQ)
= 1-cosQ/sinQ + (1-cosQ)(cotQ)
= 1-cosQ/sinQ + cosQ-cos²Q/sinQ
= (1-cosQ+cosQ-cos²Q)/sinQ
= (1-cos²Q)/sinQ
= sin²Q/sinQ
= sinQ